Subgroups — #44567639

Order 32272.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#30633239	C₂	1	2	yes	maximal, complemented
2	C₄×D₂₀₁₇	C₂	1	1	yes	maximal, characteristic
3	C₂×D₂₀₁₇	C₄	1	1	yes	characteristic
4	C₄×C₂₀₁₇	C₄	1	1	yes	characteristic
5	Dic₂₀₁₇	C₂²	1	1	yes	characteristic
6	C₂×C₂₀₁₇	C₂×C₄	1	1	yes	characteristic
7	D₂₀₁₇	C₈	1	2	yes	complemented
8	C₂₀₁₇	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
9	C₂×C₈	—	2017	1	no	maximal, Sylow
10	C₂×C₄	—	2017	1	no	—
11	C₈	—	2017	2	no	—
12	C₂²	—	2017	1	no	—
13	C₄	—	2017	1	no	—
14	C₄	#22549029	1	1	yes	characteristic
15	C₂	—	2017	2	no	—
16	C₂	C₂×#22549029	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.